ELATE: Elastic tensor analysis

Welcome to ELATE, the online tool for analysis of elastic tensors, developed by Romain Gaillac and Fran├žois-Xavier Coudert at CNRS / Chimie ParisTech.
If you use the software in published results (paper, conference, etc.), please cite the corresponding paper (J. Phys. Condens. Matter, 2016, 28, 275201) and give the website URL.

ELATE is open source software. Any queries or comments are welcome at

Summary of the properties

Input: stiffness matrix (coefficients in GPa) of Ba2Hg (Materials Project id mp-8094)

        33       10        9        0        0        0  
        10       33        9        0        0        0  
         9        9       23        0        0        0  
         0        0        0        9        0        0  
         0        0        0        0        9        0  
         0        0        0        0        0       10  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 16.111 GPaEV = 24.167 GPaGV = 9.6667 GPaνV = 0.25
ReussKR = 15.604 GPaER = 23.701 GPaGR = 9.5045 GPaνR = 0.24684
HillKH = 15.857 GPaEH = 23.934 GPaGH = 9.5856 GPaνH = 0.24844

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
9 GPa 9 GPa 10 GPa 16.814 GPa 23 GPa 49.186 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 19.233 GPa 28.055 GPa 16.929 TPa–1 30.23 TPa–1 8.8758 GPa 11.5 GPa0.20930.30531Value
Anisotropy 1.459 1.7857 1.296 1.4587Anisotropy
Axis 0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.2588
0.9659
0.0000
0.0000
0.0000
1.0000
-0.5001
0.4999
0.7071
0.7071
0.7071
0.0000
0.0000
0.0000
1.0000
1.0000
0.0000
-0.0000
Axis
-0.4999
0.5001
-0.7071
-0.7071
0.7071
-0.0000
-0.7660
0.6428
0.0000
-0.0000
0.0002
-1.0000
Second axis

Spatial dependence of Young's modulus



Young's modulus in (xy) plane

Young's modulus in (xz) plane

Young's modulus in (yz) plane

Spatial dependence of linear compressibility



linear compressibility in (xy) plane

linear compressibility in (xz) plane

linear compressibility in (yz) plane

Spatial dependence of shear modulus



Shear modulus in (xy) plane

Shear modulus in (xz) plane

Shear modulus in (yz) plane

Spatial dependence of Poisson's ratio



Poisson's ratio in (xy) plane

Poisson's ratio in (xz) plane

Poisson's ratio in (yz) plane